COMBINATORIAL PROPERTIES OF THE DIFFERENCE SET WITH RESPECT TO CPHMs OF ROW SUM 0 AND 2

Authors

  • Pankaj Kumar Manjhi Assistant Professor, University Department of Mathematics, Vinoba Bhave University, Hazaribag, India.
  • Jitendra Kumar Vinoba Bhave University, Hazaribagh https://orcid.org/0009-0005-0132-7755

Keywords:

Hadamard Matrix, General Difference Set, Circulant Partial Hadamard Matrix

Abstract

This article investigates the combinatorial properties of difference sets within the cyclic
group Zn, specifically in the context of circulant partial Hadamard matrices (CPHMs). We
examine the structural characteristics and establish relationships between difference sets
associated with 2-H(m×n) and 0-H(m×n) matrices. Our results provide insights into the
interplay between these matrix classes and their corresponding difference sets, contributing
to the broader understanding of their applications in combinatorial design theory.

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Author Biography

Pankaj Kumar Manjhi, Assistant Professor, University Department of Mathematics, Vinoba Bhave University, Hazaribag, India.

Assistant Professor, University Department of Mathematics, Vinoba Bhave University, Hazaribag, India.

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Published

20-08-2025

How to Cite

Manjhi, P. K., & Kumar, J. (2025). COMBINATORIAL PROPERTIES OF THE DIFFERENCE SET WITH RESPECT TO CPHMs OF ROW SUM 0 AND 2. Communications in Mathematics and Applications, 16(2). Retrieved from https://www.journals.rgnpublications.com/index.php/cma/article/view/3214

Issue

Vol. 16 No. 2 (2025)

Section

Research Article

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